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Mechanical Systems with Partial Damping: Two Examples
(1991)
We discuss the problem of constructing steady state motions of mechanical systems with partial damping. A planar three bar linkage with viscous damping at one of the joints is considered as an example. We show that for a ...
Modeling of Impact on a Flexible Beam
(1993)
We consider the problem of modeling dynamical effects of impact of an elastic body on a flexible beam. We derive a nonlinear integral equation by using the Hertz law of impact in conjunction with the beam equation. This ...
Asymptotic Stability of Nonlinear Systems with Holomorphic Structure
(1990)
We consider the local asymptotic stability of a system dx/dt = F(z), z = C sup n , F : C sup n - C sup n is holomorphic, t R, and show that if the system is locally asymptotically stable at some equilibrium point in the ...
Global Tracking Problem for Minimum Phase Nonlinear Systems
(1990)
We consider the tracking problem for a globally minimum phase nonlinear system. It is assumed that the signal to be tracked is slowly varying and a priori bounds on its magnitude are known. We show that if the system has ...
Noninteracting Control with Stability for a Class of Nonlinear Systems
(1991)
In this paper we address the problem of noninteracting control with stability for the class of nonlinear square systems for which noninteraction can be achieved (without stability) by means of invertible static state-feedback. ...
Stabilization of Globally Noninteractive Nonlinear Systems via Dynamic State-Feedback
(1991)
We consider the problem of semiglobal asymptotic stabilization and noninteracting control via dynamic state-feedback for a class of nonlinear control systems. It is assumed that the plant has been already rendered ...
Optimal Control of a Rigid Body with Two Oscillators
(1993)
This paper is concerned with the exploration of reduction and explicit solvability of optimal control problems on principal bundles with connections from a Hamiltonian point of view. The particular mechanical system we ...
Asymptotic Stabilization of Low Dimensional Systems
(1990)
This paper studies the asymptotic stabilization of two and three dimensional nonlinear control systems. In the two dimensional case we review some of our recent work and in the three dimensional case we give some new ...